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Composition of Functions Worksheet - Page 2

Composition of Functions Worksheet
  • Page 2
 11.  
If f(x) = - 2x2 and g(x) = 4x, evaluate the composite function (gof)(x).
a.
- 8x2 + x
b.
- 8x3
c.
- 8x
d.
- 8x2


Answer: (d)


Correct answer : (4)
 12.  
If f(x) = 4x + 8 and g(x) = - 10x, evaluate the composite function g[f(4)].
a.
- 240
b.
24
c.
-152
d.
10


Answer: (a)


Correct answer : (1)
 13.  
If f(x) = 11x and g(x) = 3x - 2, find the value of g[f(- 3)].
a.
- 11
b.
33
c.
- 101
d.
- 33


Answer: (c)


Correct answer : (3)
 14.  
If f(x) = x2 + 5 and g(x) = 5x + 4, find the value of f[g(6)].
a.
41
b.
1161
c.
34
d.
5.2


Answer: (b)


Correct answer : (2)
 15.  
If f(x) = - 5x + 8 and g(x) = x2, evaluate the composite function f[g(- 5)].
a.
-117
b.
25
c.
133
d.
8


Answer: (a)


Correct answer : (1)
 16.  
f(x) = 7 + 5x - 2x2 and g(x) = 2x + 3, evaluate (f o g)(x).
a.
- 4x2 + 10x + 11
b.
- 8x2 - 14x + 4
c.
- 4x2 + 10x + 17
d.
8x2 + 34x + 40


Answer: (b)


Correct answer : (2)

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